{"id":"aqua_rat:74b46268d5bfff2b8d3facf5732fbb8c","source_id":"aqua_rat","source_item_id":"74b46268d5bfff2b8d3facf5732fbb8c","external_id":null,"program":null,"section":"math","category_code":"PHM","category":"Preparing for Higher Math","subcategory_code":null,"subcategory":null,"form_id":null,"passage_id":null,"position":null,"scored":true,"layout_warning":null,"stem":"Christopher and Jonathan were having bets. They decide that a coin will be flipped twenty times and each time it turns heads, Christopher will give $2 to Jonathan and each time it turns out to be Tails, Jonathan will give 3$ to Christopher. After flipping for twenty times none of the both won or lost any amount. How many times did the coin landed on Heads ?","stimulus":"","stimulus_html":null,"stem_html":"<p>Christopher and Jonathan were having bets. They decide that a coin will be flipped twenty times and each time it turns heads, Christopher will give $2 to Jonathan and each time it turns out to be Tails, Jonathan will give 3$ to Christopher. After flipping for twenty times none of the both won or lost any amount.</p><p>How many times did the coin landed on Heads ?</p>","rationale_html":"<p>The amount won and lost by both is equal.</p><p>Thus 2x = 3(20-x) --- x in the number of times heads came</p><p>X = 12</p>","correct_answer":["E"],"equiv_key":"8599f0f088d81aa6e6673bd7","has_media":false,"has_mathml":false,"has_table":false,"section_label":"Mathematics","options":[{"label":"A","content_html":"<p>10</p>","ord":0},{"label":"B","content_html":"<p>23</p>","ord":1},{"label":"C","content_html":"<p>16</p>","ord":2},{"label":"D","content_html":"<p>18</p>","ord":3},{"label":"E","content_html":"<p>12</p>","ord":4}],"passage":null,"attribution":{"source_id":"aqua_rat","source_name":"AQuA-RAT algebra word problems with rationales","rights_holder":"Google DeepMind and the AQuA-RAT contributors","canonical_url":"https://github.com/google-deepmind/AQuA","retrieved_from":"https://raw.githubusercontent.com/google-deepmind/AQuA/master/","attribution":"Algebra word problems from the AQuA-RAT dataset (Ling et al., 2017), published by Google DeepMind under the Apache License 2.0.","disclaimer":"AQuA-RAT items are crowdsourced algebra problems, not ACT questions. They carry five answer choices in the pre-2025 ACT Mathematics style and no ACT reporting category. Useful for drilling Preparing for Higher Math content; not a substitute for a real form.","license":"Apache License 2.0. Crowdsourced by DeepMind and published for free use, including commercially.","redistributable":true,"item_count":508},"equivalents":[]}